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Finding the Fourth Proportional to 77,487.41, 116,231.13 and 30,740.29

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Solution

The fourth proportional to 77,487.41, 116,231.13 and 30,740.29 is: 46,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487.41 : 116,231.13 = 30,740.29 : x
  2. Step 2: Convert to fraction form
    77,487.41/116,231.13 = 30,740.29/x
  3. Step 3: Cross multiply
    77,487.41x = 116,231.13 × 30,740.29
  4. Step 4: Simplify right side
    77,487.41x = 3,572,978,643.23
  5. Step 5: Solve for x
    x = 3,572,978,643.23/77,487.41
  6. Step 6: Final answer
    x = 46,110.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.